Question #e6979

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Answer 1 · 2018-02-16T06:15:42

#d/dx{sinx+cosx}=d/dx{sinx}+d/dx{cosx}=cosx-sinx#.

Answer 2 · 2018-02-16T06:23:51

#cos(x)-sin(x)#

#d/dx(sin(x)+cos(x))#

An important rule to know is that

#d/dx(x+y)=d/dx(x)+d/dx(y)#

The derivative of #sin(x)# is #cos(x)#, while the derivative of #cos(x)# is #-sin(x)#.

#:.d/dx(sin(x)+cos(x))=d/dx(sin(x))+d/dx(cos(x))#

#=cos(x)-sin(x)#

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